Spectral Geometry and Inverse Scattering Theory
Spectral Geometry and Inverse Scattering Theory
English | 2023 | ISBN: 3031346149 | 387 Pages | PDF EPUB (True) | 43 MB
English | 2023 | ISBN: 3031346149 | 387 Pages | PDF EPUB (True) | 43 MB
Inverse scattering problems are a vital subject for both theoretical and experimental studies and remain an active field of research in applied mathematics. This book provides a detailed presentation of typical setup of inverse scattering problems for time-harmonic acoustic, electromagnetic and elastic waves. Moreover, it provides systematical and in-depth discussion on an important class of geometrical inverse scattering problems, where the inverse problem aims at recovering the shape and location of a scatterer independent of its medium properties. Readers of this book will be exposed to a unified framework for analyzing a variety of geometrical inverse scattering problems from a spectral geometric perspective.